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Finding the Fourth Proportional to 75,842.84, 104,696.62 and 48,998.36

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Solution

The fourth proportional to 75,842.84, 104,696.62 and 48,998.36 is: 67,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.84 : 104,696.62 = 48,998.36 : x
  2. Step 2: Convert to fraction form
    75,842.84/104,696.62 = 48,998.36/x
  3. Step 3: Cross multiply
    75,842.84x = 104,696.62 × 48,998.36
  4. Step 4: Simplify right side
    75,842.84x = 5,129,962,677.54
  5. Step 5: Solve for x
    x = 5,129,962,677.54/75,842.84
  6. Step 6: Final answer
    x = 67,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.